Answer:
5,-3
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
The line goes down 1 grid square for each grid square to the right. Each grid square represents 1 unit in both the x- and y-directions. That means the slope is ...
m = rise/run = -1/1 = -1
The slope of the line is -1.
Answer:
remaining cardboard area = 122.5πr²
Step-by-step explanation:
area of original rectangle = length * width
= 18r * 8r
= 144r²
- area of semi circle:
πr²
Here we have 3 semi circles with radius 3r:
- area of 3 semi circles: 3( * π * (3r)²)
: 3( * π * 9r²)
: 13.5πr²
- area of one semi circle with radius 4r:
( * π * (4r)²)
( * π * 16r²)
8πr²
- So the area of remaining cardboard:
area of rectangle - area of 4 semi circles
144r² - 13.5πr² - 8πr²
122.5πr²
Answer:
The perimeter of given figure = 56.56 ft
Step-by-step explanation:
Step(i):-
From diagram
The length of the rectangle = 10 ft
The width of the rectangle = 8 ft
Perimeter of the rectangle
= 2 ( l+w)
= 2 ( 10 + 8)
= 2 × 18
= 36
Step(ii):-
The semi circle is included in the given diagram
Now we will find the perimeter of semicircle
We know that
perimeter of the circle
p = 2πr + d
perimeter of the semicircle
P = πr + 2 r (∵ d = 2 r)
Step(iii):-
From diagram the diameter of semicircle is equal to the width of the rectangle
d = 8
d = 2 r = 8
The radius of the circle 'r' = 4
perimeter of the semicircle
P = πr + 2 r
P = 3.14 ( 4) + 8
P= 20.56
Conclusion:-
The perimeter of given figure
= perimeter of rectangle + perimeter of semicircle
= 36 + 20.56
=56.56 ft
